(i) If a differential equation is ,

then y(I.F) = ∫Q.(I.F)dx + c, where I.F = e^∫Pdx

Given:-

This is a linear differential equation, comparing it with

I.F = e^∫Pdx

Solution of the equation is given by

y(I.F) = ∫Q.(I.F)dx + c

so,

yt = ∫t.dt + c